Can someone help me with this equation please.Thank you!

A ship is approaching a lighthouse the is known to be 30 meters in height. The apparent size of the lighthouse is .005 radians.

Orlov [11]

Refer to the diagram shown below.

Let the ship approach the lighthouse at a constant speed of v km/h.

When the angle of elevation is 0.005 radians,
tan(0.005) = 30/(x + y)
x + y = 30/tan(0.005) = 6000 m (1)

When the angle of elevation is 0.1 radian,
tan(0.1) = 30/x
x = 30/tan(0.1) = 299 m

From (1), obtain
y = 6000 - 299 = 5701 m = 5.701 km

The ship travels 5701 m in 10 minutes. It's speed is
v = (5.701 km)/(1/6 h) = 34.2 km/h

Answer: The ship is traveling at 34.2 km/h.

8 0

3 years ago

Can someone please help meee

valentinak56 [21]

Answer:

with a line accross the points

4 0

2 years ago

Using your answer from part (b) and inequality symbols, write one statement that shows the relationship among all of the numbers

Natali5045456 [20]

Answer:

(b) Least to greatest numbers are -1.0, $-\frac{1}{4}$ , 0, 0.5, 1.5

(c) -1.0 < $-\frac{1}{4}$ < 0 < 0.5 < 1.5

OR

1.5 > 0.5 > 0 > $-\frac{1}{4}$ > -1.0

Step-by-step explanation:

P.S - The exact question is -

Given - Kendra collected data for her science project. She surveyed

people asking them how many hours they sleep during a

typical night.

The chart below shows how each person’s response compares

to 8 hours (which is the answer she expected most people to say).

Name Number of Hours Compared to Hours

(usually slept each night)

Frankie 8.5 0.5

Mr. Fields 7 −1.0

Karla 9.5 1.5

Louis 8 0

Tiffany $7\frac{3}{4}$ $-\frac{1}{4}$

To find - (a) Plot and label each of the numbers in the right-most column

of the table above on the number line below.

(b) List the numbers from least to greatest.

(c) Using your answer from part (b) and inequality symbols,

write one statement that shows the relationship among all

of the numbers.

Proof -

(a)

We can see that the numbers in the right-most column are 0.5, -1.0, 1.5, 0, $-\frac{1}{4}$

We can write $-\frac{1}{4}$ = -0.25

Now,

We have to label them in the number line

The number line is as follows :

(b)

Least to greatest numbers are -1.0, $-\frac{1}{4}$ , 0, 0.5, 1.5

(c)

By using inequality symbol, we get

-1.0 < $-\frac{1}{4}$ < 0 < 0.5 < 1.5

OR

1.5 > 0.5 > 0 > $-\frac{1}{4}$ > -1.0

5 0

3 years ago

Which of the following could be<br> the sum of exactly three<br> consecutive even integers?

OLEGan [10]

Answer: 198 is your answer:65+66+67 = 198 Hope I helped!

Step-by-step explanation:

8 0

3 years ago

You rode a bicyde for 2 hours and travelled 43 km, calculate your average<br>speed.

cupoosta [38]

Answer:

22.5km per hour

Step-by-step explanation:

5 0

3 years ago